Math, asked by yaminisingh7, 8 months ago

if all the angles of a parallelogrm are equal . prove thst it is a rectangle

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Answered by AKM2805

Answer:

Step-by-step explanation:

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Answered by Anonymous

$\huge{\mathfrak{\purple{h}\green{e}\red{l}\pink{l}\blue{o}}}$

$\huge\boxed{\fcolorbox{Red}{Blue}{QUESTION:}}$

$\small\red{\underline{\underline{\sf{If\:all\:angles\:of\:a\: Parallelogram\:are\:equal\:than\:it\:is\:a\:Rectangle...}}}}$

$\large\green{\fbox{\mathbb{SOLUTION--->}}}$

Let us assume one angle be $\large\pink{x}$

We have told that all angles are equal

Therefore,

$\large\blue{4x\: = \: 360}$ $\small\red{\underline{\sf{(Anglesum\: property\:of\:Quadrilateral)}}}$

-----> $\large\blue{x\: =\: 360/4}$

-----> $\large\blue{x\: =\: 90°}$

$\small\pink{\underline{\textbf{All\:angles\:in\:a\:Rectangle\:also\:measure\:90°}}}$

$\huge\green{\underline{\rm{HENCE\:PROVED!!!}}}$

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ANSWER BY MANAS817

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